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Many investors may use the following formula to calculate bond prices: P ... (T 0) = bond price at period zero. PMT(T n) = coupon payment at period n. ... r = yield to maturity. n = number of periods.
Given: 0.5-year spot rate, Z1 = 4%, and 1-year spot rate, Z2 = 4.3% (we can get these rates from T-Bills which are zero-coupon); and the par rate on a 1.5-year semi-annual coupon bond, R3 = 4.5%. We then use these rates to calculate the 1.5 year spot rate. We solve the 1.5 year spot rate, Z3, by the formula below:
Then continuing by trial and error, a bond gain of 5.53 divided by a bond price of 99.47 produces a yield to maturity of 5.56%. Also, the bond gain and the bond price add up to 105. Finally, a one-year zero-coupon bond of $105 and with a yield to maturity of 5.56%, calculates at a price of 105 / 1.0556^1 or 99.47.
The concept of current yield is closely related to other bond concepts, including yield to maturity (YTM), and coupon yield. When a coupon-bearing bond sells at; a discount: YTM > current yield > coupon yield; a premium: coupon yield > current yield > YTM; par: YTM = current yield = coupon yield. For zero-coupon bonds selling at a discount, the ...
Zero coupon bonds have a duration equal to the bond's time to maturity, which makes them sensitive to any changes in the interest rates. Investment banks or dealers may separate coupons from the principal of coupon bonds, which is known as the residue, so that different investors may receive the principal and each of the coupon payments.
This liability can make zero-coupon bonds less tax-efficient for some investors. Commitment: Zero-coupon bonds are intended to be a long-term commitment, usually spanning 10 to 30 years. For ...
Macaulay duration is a time measure with units in years and really makes sense only for an instrument with fixed cash flows. For a standard bond, the Macaulay duration will be between 0 and the maturity of the bond. It is equal to the maturity if and only if the bond is a zero-coupon bond.
To extract the forward rate, we need the zero-coupon yield curve.. We are trying to find the future interest rate , for time period (,), and expressed in years, given the rate for time period (,) and rate for time period (,).